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12034102431144 = 2335924135264149
BaseRepresentation
bin1010111100011110100001…
…1001101000110110101000
31120121110010021211002201210
42233013220121220312220
53034131320210244034
641332220151313120
72351302163624013
oct257075031506650
946543107732653
1012034102431144
11391a6a81040a2
12142435867b7a0
13693a7098b621
142d864cc0237a
1515d07bca48e9
hexaf1e8668da8

12034102431144 has 64 divisors (see below), whose sum is σ = 30722127480000. Its totient is φ = 3927015521280.

The previous prime is 12034102431133. The next prime is 12034102431157. The reversal of 12034102431144 is 44113420143021.

It is a happy number.

12034102431144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×120341024311442 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17290819 + ... + 17973330.

It is an arithmetic number, because the mean of its divisors is an integer number (480033241875).

Almost surely, 212034102431144 is an apocalyptic number.

It is an amenable number.

12034102431144 is an abundant number, since it is smaller than the sum of its proper divisors (18688025048856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12034102431144 is a wasteful number, since it uses less digits than its factorization.

12034102431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35264458 (or 35264454 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 12034102431144 its reverse (44113420143021), we get a palindrome (56147522574165).

The spelling of 12034102431144 in words is "twelve trillion, thirty-four billion, one hundred two million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 59 118 177 236 241 354 472 482 708 723 964 1416 1446 1928 2892 5784 14219 28438 42657 56876 85314 113752 170628 341256 35264149 70528298 105792447 141056596 211584894 282113192 423169788 846339576 2080584791 4161169582 6241754373 8322339164 8498659909 12483508746 16644678328 16997319818 24967017492 25495979727 33994639636 49934034984 50991959454 67989279272 101983918908 203967837816 501420934631 1002841869262 1504262803893 2005683738524 3008525607786 4011367477048 6017051215572 12034102431144